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Some analytical results about a simple reaction-diffusion system for morphogenesis

https://doi.org/10.1007/bf00275155
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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

inferredcites →https://doi.org/10.1007/978-3-030-27407-8openalex-snapshot
Differential and Integral Inequalities
inferredcites →https://doi.org/10.1007/978-3-642-10940-9openalex-snapshot
Eigenvalues of Non-Linear Problems
inferredcites →https://doi.org/10.1007/978-3-642-86405-6openalex-snapshot
Differential and Integral Inequalities
inferredcites →https://doi.org/10.1007/bf02411692openalex-snapshot
A simple system of reaction-diffusion equations describing morphogenesis: Asymptotic behavior
inferredcites →https://doi.org/10.1007/bf02414721openalex-snapshot
Stability results for a class of non-linear parabolic equations
inferredcites →https://doi.org/10.1007/bf02459519openalex-snapshot
Bifurcation analysis of nonlinear reaction-diffusion equations—I. Evolution equations and the steady state solutions
inferredcites →https://doi.org/10.1007/bf02459528openalex-snapshot
Models for cell differentiation and generation of polarity in diffusion-governed morphogenetic fields
inferredcites →https://doi.org/10.1016/0016-0032(65)90278-4openalex-snapshot
Partial differential equations of parabolic type
inferredcites →https://doi.org/10.1016/0022-247x(69)90175-9openalex-snapshot
Dynamical systems and stability
inferredcites →https://doi.org/10.1016/0025-5564(75)90026-7openalex-snapshot
Reaction-diffusion equation describing morphogenesis I. waveform stability of stationary wave solutions in a one dimensional model
inferredcites →https://doi.org/10.1016/s0006-3495(70)86355-xopenalex-snapshot
Solutions to Axon Equations
inferredcites →https://doi.org/10.1080/03605307708820045openalex-snapshot
A comparison technique for systems of reaction-diffusion equations
inferredcites →https://doi.org/10.1098/rstb.1952.0012openalex-snapshot
The chemical basis of morphogenesis
inferredcites →https://doi.org/10.1216/rmj-1973-3-2-161openalex-snapshot
Some aspects of nonlinear eigenvalue problems
inferredcites →https://doi.org/10.1242/jcs.23.1.117openalex-snapshot
A model of pattern formation in insect embryogenesis
inferredcites →https://doi.org/10.3169/itej1954.24.687openalex-snapshot
Biological Engineering

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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A reaction‐diffusion system modelling the spread of bacterial infections
inferred← citeshttps://doi.org/10.1002/sapm1980633227openalex-snapshot
A Singular Perturbation Analysis for a Reaction‐Diffusion System Describing Pattern Formation
inferred← citeshttps://doi.org/10.1007/978-3-642-74119-7_10openalex-snapshot
Pattern Formation on Analogue Parallel Networks
inferred← citeshttps://doi.org/10.1007/978-3-642-95650-8_5openalex-snapshot
Current Density Filaments in Semiconductor Devices
inferred← citeshttps://doi.org/10.1007/bf01303774openalex-snapshot
Pattern formation in S-shaped negative differential conductivity material
inferred← citeshttps://doi.org/10.1007/bf01303849openalex-snapshot
Pattern formation on a nonlinear periodic electrical network
inferred← citeshttps://doi.org/10.1007/bf02459421openalex-snapshot
Bifurcation, stability diagrams, and varying diffusion coefficients in reaction-diffusion equations
inferred← citeshttps://doi.org/10.1007/s11784-024-01101-2openalex-snapshot
Bifurcation from infinity and multiplicity of solutions for an elliptic system
inferred← citeshttps://doi.org/10.1016/0022-247x(83)90148-8openalex-snapshot
Spatially inhomogeneous steady state solutions for systems of equations describing interacting populations
inferred← citeshttps://doi.org/10.1016/0022-247x(88)90065-0openalex-snapshot
A new kind of integral transform and its application to periodic solutions
inferred← citeshttps://doi.org/10.1016/0362-546x(81)90097-3openalex-snapshot
Global existence of branches of stationary solutions for a system of reaction diffusion equations from biology
inferred← citeshttps://doi.org/10.1016/0375-9601(93)90029-yopenalex-snapshot
Experimental and numerical observation of quasiparticle like structures in a distributed dissipative system
inferred← citeshttps://doi.org/10.1063/1.342095openalex-snapshot
Stable multifilament structures in semiconductor materials based on a kinetic model
inferred← citeshttps://doi.org/10.1103/physreva.42.7426openalex-snapshot
Model for current patterns in physical systems with two charge carriers
inferred← citeshttps://doi.org/10.3233/asy-231839openalex-snapshot
Bifurcation from infinity and multiplicity results for an elliptic system from biology
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